Final answer:
6,299 rounded to the nearest thousand is 6,000. This rounding process involves checking the hundreds digit, and since it is less than 5, we round down. Scientific notation requires only one digit to the left of the decimal, so 965 becomes 9.65 × 10².
Step-by-step explanation:
In mathematics, rounding is a process of approximating a number to a specified place value. When rounding the number 6,299 to the nearest thousand, we must look at the hundreds digit, which is 2 in this case. If this digit is 5 or greater, we would round up, but since it is less than 5, we round down. Therefore, 6,299 rounded to the nearest thousand is 6,000.
In scientific notation, it's important to have only one digit to the left of the decimal point. For the number 965, this means we need to change it to 9.65 and then express how many places we moved the decimal point with an exponent of ten. Consequently, 965 in scientific notation is 9.65 × 10².